Trigonometry Examples

$y = \cot (12 π - 3 π)$

Step 1

Rewrite $\cot (12 π - 3 π)$ in terms of sines and cosines.

$y = \frac{\cos (12 π - 3 π)}{\sin (12 π - 3 π)}$

Step 2

Subtract $3 π$ from $12 π$ .

$y = \frac{\cos (12 π - 3 π)}{\sin (9 π)}$

Step 3

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$y = \frac{\cos (12 π - 3 π)}{\sin (π)}$

Step 4

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$y = \frac{\cos (12 π - 3 π)}{\sin (0)}$

Step 5

The exact value of $\sin (0)$ is $0$ .

$y = \frac{\cos (12 π - 3 π)}{0}$